<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2013-08-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001311596</issuerCik>
        <issuerName>Regado Biosciences Inc</issuerName>
        <issuerTradingSymbol>RGDO</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001189158</rptOwnerCik>
            <rptOwnerName>NEFF P SHERRILL</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>CIRA CENTRE, 2929 ARCH STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PHILADELPHIA</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19104</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

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                <value>Common Stock, par value $0.001 per share</value>
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            <transactionDate>
                <value>2013-08-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
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                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
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                </transactionShares>
                <transactionPricePerShare>
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                <transactionAcquiredDisposedCode>
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            </transactionAmounts>
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            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote 6</value>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
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                <transactionPricePerShare>
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            <ownershipNature>
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                <natureOfOwnership>
                    <value>See Footnote 6</value>
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        <nonDerivativeTransaction>
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                <transactionPricePerShare>
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                <natureOfOwnership>
                    <value>See Footnote 6</value>
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        <nonDerivativeTransaction>
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            <ownershipNature>
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                    <value>I</value>
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                <natureOfOwnership>
                    <value>See Footnote 6</value>
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                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.001 per share</value>
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            <deemedExecutionDate></deemedExecutionDate>
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            <ownershipNature>
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                <natureOfOwnership>
                    <value>See Footnote 6</value>
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            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option  (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>4.00</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2013-08-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>17964</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2023-08-27</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.001 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>17964</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Series B Preferred Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F2"/>
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            <transactionDate>
                <value>2013-08-27</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionAmounts>
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                </transactionShares>
                <transactionPricePerShare>
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                <transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.001 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>399201</value>
                    <footnoteId id="F2"/>
                </underlyingSecurityShares>
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            <ownershipNature>
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                <natureOfOwnership>
                    <value>See Footnote 6</value>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Series C Preferred Stock</value>
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            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2013-08-27</value>
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                <transactionShares>
                    <value>4566908</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.001 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>273468</value>
                    <footnoteId id="F3"/>
                </underlyingSecurityShares>
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            <postTransactionAmounts>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote 6</value>
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                </natureOfOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Series D Preferred Stock</value>
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            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2013-08-27</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionPricePerShare>
                    <value>0</value>
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                <transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F4"/>
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            <expirationDate>
                <footnoteId id="F4"/>
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                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.001 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
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            <ownershipNature>
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                    <value>I</value>
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                <natureOfOwnership>
                    <value>See Footnote 6</value>
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        </derivativeTransaction>
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                <value>Series E Preferred Stock</value>
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            <transactionDate>
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                <transactionShares>
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                <transactionPricePerShare>
                    <value>0</value>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
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            <exerciseDate>
                <footnoteId id="F5"/>
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            <expirationDate>
                <footnoteId id="F5"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.001 per share</value>
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                    <footnoteId id="F5"/>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote 6</value>
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                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">100%  of the shares underlying the option will vest on the one-year anniversary of the date of grant.</footnote>
        <footnote id="F2">The shares of Series B Preferred Stock had no expiration date and automatically converted upon the consummation of the initial public offering of Regado Biosciences, Inc. (the &quot;Company&quot;) at a conversion ratio of 1 share of Series B Preferred Stock to 0.05988024 shares of common stock, for no additional consideration.</footnote>
        <footnote id="F3">The shares of Series C Preferred Stock had no expiration date and automatically converted upon the consummation of the Company's initial public offering at a conversion ratio of 1 share of Series C Preferred Stock to 0.05988024 shares of common stock, for no additional consideration.</footnote>
        <footnote id="F4">The shares of Series D Preferred Stock had no expiration date and automatically converted upon the consummation of the Company's initial public offering at a conversion ratio of 1 share of Series D Preferred Stock to 0.05988024 shares of common stock, for no additional consideration.</footnote>
        <footnote id="F5">The shares of Series E Preferred Stock had no expiration date and automatically converted upon the consummation of the Company's initial public offering at a conversion ratio of 1 share of Series E Preferred Stock to 0.05988024 shares of common stock, for no additional consideration.</footnote>
        <footnote id="F6">The reportable securities are directly held by Quaker BioVentures, L.P. (&quot;Quaker&quot;).  Quaker BioVentures Capital, L.P. (&quot;Quaker Capital LP&quot;) is the general partner of the Quaker.  Quaker BioVentures Capital, LLC (&quot;Quaker Capital LLC&quot;) is the general partner of Quaker Capital LP and has voting and dispositive power over the shares held by Quaker.  Voting and investment determinations made by Quaker Capital LLC with respect to the shares held by Quaker are made by an investment committee of Quaker Partners Management, L.P., which committee includes P. Sherrill Neff (the &quot;Reporting Person&quot;), a member of the board of the directors of the Company.  The Reporting Person disclaims beneficial ownership of the securities held by Quaker, except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ P. Sherrill Neff by Christopher Courts, Attorney-in-Fact</signatureName>
        <signatureDate>2013-08-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
